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Sep 22, 2013
09/13

by
Laurent Jacques

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This short note aims at (re)proving that the symmetrically normalized graph Laplacian $L=\Id - D^{-1/2}WD^{-1/2}$ (from a graph defined from a Gaussian weighting kernel on a sampled smooth manifold) converges towards the continuous Manifold Laplacian when the sampling become infinitely dense. The convergence rate with respect to the number of samples $N$ is $O(1/N)$.

Source: http://arxiv.org/abs/1101.1428v1

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Sep 23, 2013
09/13

by
Laurent Jacques

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This short note proves the $\ell_2-\ell_1$ instance optimality of a $\ell_1/\ell_1$ solver, i.e a variant of \emph{basis pursuit denoising} with a $\ell_1$ fidelity constraint, when applied to the estimation of sparse (or compressible) signals observed by sparsely corrupted compressive measurements. The approach simply combines two known results due to Y. Plan, R. Vershynin and E. Cand\`es.

Source: http://arxiv.org/abs/1303.5097v1

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Sep 22, 2013
09/13

by
Laurent Jacques

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This short note studies a variation of the Compressed Sensing paradigm introduced recently by Vaswani et al., i.e. the recovery of sparse signals from a certain number of linear measurements when the signal support is partially known. The reconstruction method is based on a convex minimization program coined "innovative Basis Pursuit DeNoise" (or iBPDN). Under the common $\ell_2$-fidelity constraint made on the available measurements, this optimization promotes the ($\ell_1$) sparsity...

Source: http://arxiv.org/abs/0908.0660v2

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Jun 27, 2018
06/18

by
Laurent Jacques

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Under which conditions and with which distortions can we preserve the pairwise-distances of low-complexity vectors, e.g., for structured sets such as the set of sparse vectors or the one of low-rank matrices, when these are mapped in a finite set of vectors? This work addresses this general question through the specific use of a quantized and dithered random linear mapping which combines, in the following order, a sub-Gaussian random projection in $\mathbb R^M$ of vectors in $\mathbb R^N$, a...

Topics: Information Theory, Computing Research Repository, Mathematics

Source: http://arxiv.org/abs/1504.06170

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0.0

Jun 30, 2018
06/18

by
Laurent Jacques

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This paper provides new error bounds on "consistent" reconstruction methods for signals observed from quantized random projections. Those signal estimation techniques guarantee a perfect matching between the available quantized data and a new observation of the estimated signal under the same sensing model. Focusing on dithered uniform scalar quantization of resolution $\delta>0$, we prove first that, given a Gaussian random frame of $\mathbb R^N$ with $M$ vectors, the worst-case...

Topics: Mathematics, Computing Research Repository, Information Theory

Source: http://arxiv.org/abs/1406.0022

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Jun 29, 2018
06/18

by
Valerio Cambareri; Laurent Jacques

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The realisation of sensing modalities based on the principles of compressed sensing is often hindered by discrepancies between the mathematical model of its sensing operator, which is necessary during signal recovery, and its actual physical implementation, which can amply differ from the assumed model. In this paper we tackle the bilinear inverse problem of recovering a sparse input signal and some unknown, unstructured multiplicative factors affecting the sensors that capture each compressive...

Topics: Optimization and Control, Information Theory, Computing Research Repository, Mathematics

Source: http://arxiv.org/abs/1610.02851

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6.0

Apr 7, 2019
04/19

by
Jacques Testart, Laurent Alexandre

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Transhumanismus - Jacques Testart und Laurent Alexandre 2016 ARTE Zukunft kontrovers

Topics: Transhumanismus, Jacques Testart, Laurent Alexandre, ARTE, Zukunft

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1.0

Jun 29, 2018
06/18

by
Laurent Jacques; Valerio Cambareri

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Recently, many works have focused on the characterization of non-linear dimensionality reduction methods obtained by quantizing linear embeddings, e.g., to reach fast processing time, efficient data compression procedures, novel geometry-preserving embeddings or to estimate the information/bits stored in this reduced data representation. In this work, we prove that many linear maps known to respect the restricted isometry property (RIP) can induce a quantized random embedding with controllable...

Topics: Information Theory, Computing Research Repository, Mathematics

Source: http://arxiv.org/abs/1607.00816

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0.0

Jun 29, 2018
06/18

by
Valerio Cambareri; Laurent Jacques

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Computational sensing strategies often suffer from calibration errors in the physical implementation of their ideal sensing models. Such uncertainties are typically addressed by using multiple, accurately chosen training signals to recover the missing information on the sensing model, an approach that can be resource-consuming and cumbersome. Conversely, blind calibration does not employ any training signal, but corresponds to a bilinear inverse problem whose algorithmic solution is an open...

Topics: Optimization and Control, Information Theory, Computing Research Repository, Mathematics

Source: http://arxiv.org/abs/1610.09028

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5.0

Jan 16, 2020
01/20

by
Laurent, Jacques, 1919-2000

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189 p. ; 21 cm

Topics: Laurent, Jacques, 1919-2000, Authors, French -- 20th century -- Biography

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0.0

Jun 29, 2018
06/18

by
Valerio Cambareri; Laurent Jacques

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The implementation of computational sensing strategies often faces calibration problems typically solved by means of multiple, accurately chosen training signals, an approach that can be resource-consuming and cumbersome. Conversely, blind calibration does not require any training, but corresponds to a bilinear inverse problem whose algorithmic solution is an open issue. We here address blind calibration as a non-convex problem for linear random sensing models in which we aim to recover an...

Topics: Optimization and Control, Information Theory, Computing Research Repository, Mathematics

Source: http://arxiv.org/abs/1605.02615

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2.0

Jun 30, 2018
06/18

by
Adriana Gonzalez; Laurent Jacques

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The 2-D phase unwrapping problem aims at retrieving a "phase" image from its modulo $2\pi$ observations. Many applications, such as interferometry or synthetic aperture radar imaging, are concerned by this problem since they proceed by recording complex or modulated data from which a "wrapped" phase is extracted. Although 1-D phase unwrapping is trivial, a challenge remains in higher dimensions to overcome two common problems: noise and discontinuities in the true phase...

Topics: Mathematics, Optimization and Control

Source: http://arxiv.org/abs/1407.8040

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Sep 18, 2013
09/13

by
Jacques Demaret; Laurent Querella

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We use Boulware's Hamiltonian formalism of quadratic gravity theories in order to analyze the classical behaviour of Bianchi cosmological models for a Lagrangian density containing quadratic terms in the curvature. For this purpose we define a canonical transformation which leads to a clear distinction between two main variants of the quadratic theory, namely the R-squared or conformal Lagrangian densities. In this paper we restrict the study to the first variant. For Bianchi type I and IX...

Source: http://arxiv.org/abs/gr-qc/9510065v1

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Sep 23, 2013
09/13

by
Laurent Jacques; Christophe De Vleeschouwer

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This paper studies the effect of discretizing the parametrization of a dictionary used for Matching Pursuit decompositions of signals. Our approach relies on viewing the continuously parametrized dictionary as an embedded manifold in the signal space on which the tools of differential (Riemannian) geometry can be applied. The main contribution of this paper is twofold. First, we prove that if a discrete dictionary reaches a minimal density criterion, then the corresponding discrete MP (dMP) is...

Source: http://arxiv.org/abs/0801.3372v1

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Sep 22, 2013
09/13

by
Laurent Jacques; Laurent Duval; Caroline Chaux; Gabriel Peyré

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The richness of natural images makes the quest for optimal representations in image processing and computer vision challenging. The latter observation has not prevented the design of image representations, which trade off between efficiency and complexity, while achieving accurate rendering of smooth regions as well as reproducing faithful contours and textures. The most recent ones, proposed in the past decade, share an hybrid heritage highlighting the multiscale and oriented nature of edges...

Source: http://arxiv.org/abs/1101.5320v2

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Sep 23, 2013
09/13

by
Jacques Arnaud; Laurent Chusseau; Fabrice Philippe

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Quiet (or sub-Poissonian) oscillators generate a number of dissipation events whose variance is less than the mean. It was shown in 1984 by Golubev and Sokolov that lasers driven by regular pumps are quiet in that sense. The purpose of this paper is to show that, as long as the laser-detector system is strictly stationary, quantization of the optical field is not required to explain such phenomena. The theory presented here is semi-classical, yet exact. Previous theories considering...

Source: http://arxiv.org/abs/0710.2596v1

Billet d'invitation à la soutenance de thèse de médecine doctorale Available at the Bibliothèque interuniversitaire de santé (Paris). See this resource in Medica digital library : ms02322_ms02337ax07x0099 .

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Sep 21, 2013
09/13

by
Laurent Pizzagalli; Pierre Beauchamp; Jacques Rabier

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The stability of the perfect screw dislocation in silicon has been investigated using both classical potentials and first-principles calculations. Although a recent study by Koizumi et al . stated that the stable screw dislocation was located in both the 'shuffle' and the 'glide' sets of {111} planes, it is shown that this result depends on the classical potential used, and that the most stable configuration belongs to the 'shuffle' set only, in the centre of one hexagon. We also investigated...

Source: http://arxiv.org/abs/0709.1588v1

1,136
1.1K

Feb 8, 2010
02/10

by
Jacques-FranÃ§ois-Laurent Devisme (1749-1830)

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History of the city of Laon, in France. Published in 1822.

Topics: Histoire, France, Aisne, Laon

Más detalles EDICIÓN Editio secunda ... / authore primum, deinde recognitore Iacobo Seuertio ... PUBLICACIÓN Parisiis : Apud Laurentium Sonnium ..., 1598 DESCR. FÍSICA [12], 332 [i.e. 232], [16] p. : il. ; Fol. NOTA A PUBLIC. Marca tip. en port. DESCR. FÍSICA Sign.: a6, A-Z4, Aa-Hh4 F. Hh4 en blanco. -- Port. a dos tintas. -- Texto con apostillas marginales Subject Cartografía -- Obras anteriores a 1800 IMPRESOR Sonnius, Laurent imp. CLASIF. ABREV. 528 LUGAR IMPRES. Francia París...

Topics: Fondo Antiguo, Libros del Siglo XVI, Filosofía natural y obras de carácter científico, Material...

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Sep 21, 2013
09/13

by
Laurent Chusseau; Jacques Arnaud; Fabrice Philippe

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We consider three- and four-level atomic lasers that are either incoherently (unidirectionally) or coherently (bidirectionally) pumped, the single-mode cavity being resonant with the laser transition. The intra-cavity Fano factor and the photo-current spectral density are evaluated on the basis of rate equations. According to that approach, fluctuations are caused by jumps in active and detecting atoms. The algebra is considerably simpler than the one required by Quantum-Optics treatments....

Source: http://arxiv.org/abs/quant-ph/0203029v1

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Sep 22, 2013
09/13

by
Jacques Arnaud; Laurent Chusseau; Fabrice Philippe

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We call "quiet laser" a stationary laser that generates in detectors regular photo-electrons (sub-Poisson statistics). It follows from the law of conservation of energy that this is so when the laser power supply does not fluctuate. Various configurations are analyzed on the basis of the Planck (1907) semi-classical concept: "I am not seeking the meaning of light quanta in the vacuum but rather in places where emission and absorption occur, and I assume that what happens in the...

Source: http://arxiv.org/abs/0906.1469v1

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Sep 22, 2013
09/13

by
Jacques Arnaud; Laurent Chusseau; Fabrice Philippe

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Carnot established in 1824 that the efficiency $\eta_{C}$ of reversible engines operating between a hot bath at absolute temperature $T_{hot}$ and a cold bath at temperature $T_{cold}$ is equal to $1-T_{cold}/T_{hot}$. Carnot particularly considered air as a working fluid and small bath-temperature differences. Plugging into Carnot's expression modern experimental values, exact agreement with modern Thermodynamics is found. However, in a recently published paper ["Sadi Carnot on Carnot's...

Source: http://arxiv.org/abs/physics/0307104v1

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Sep 21, 2013
09/13

by
Jacques Arnaud; Laurent Chusseau; Fabrice Philippe

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The ideal gas laws are derived from the democritian concept of corpuscles moving in vacuum plus a principle of simplicity, namely that these laws are independent of the laws of motion aside from the law of energy conservation. A single corpuscle in contact with a heat bath and submitted to a $z$ and $t$-invariant force $-w$ is considered, in which case corpuscle distinguishability is irrelevant. The non-relativistic approximation is made only in examples. Some of the end results are known but...

Source: http://arxiv.org/abs/1108.3744v5

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Sep 19, 2013
09/13

by
Jacques Arnaud; Laurent Chusseau; Fabrice Philippe

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When light originating from a laser diode driven by non-fluctuating electrical currents is incident on a photo-detector, the photo-current does not fluctuate much. Precisely, this means that the variance of the number of photo-electrons counted over a large time interval is much smaller that the average number of photo-electrons. At non-zero Fourier frequency $\Omega$ the photo-current power spectrum is of the form $\Omega^2/(1+\Omega^2)$ and thus vanishes as $\Omega\to 0$, a conclusion...

Source: http://arxiv.org/abs/quant-ph/0610106v2

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0.0

Jun 30, 2018
06/18

by
Adriana Gonzalez; Véronique Delouille; Laurent Jacques

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Context: Characterization of instrumental effects in astronomical imaging is important in order to extract accurate physical information from the observations. The measured image in a real optical instrument is usually represented by the convolution of an ideal image with a Point Spread Function (PSF). Additionally, the image acquisition process is also contaminated by other sources of noise (read-out, photon-counting). The problem of estimating both the PSF and a denoised image is called blind...

Topics: Computing Research Repository, Computer Vision and Pattern Recognition, Solar and Stellar...

Source: http://arxiv.org/abs/1412.6279

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Sep 21, 2013
09/13

by
Jacques Arnaud; Laurent Chusseau; Fabrice Philippe

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Galileo noted in the 16th century that the period of oscillation of a pendulum is almost independent of the amplitude. However, such a pendulum is damped by air friction. The latter may be viewed as resulting from air molecules getting in contact with the pendulum. It follows that air friction, not only damps the oscillation, but also introduces randomness. In the so-called ``grand-mother'' clock, discovered by Huygens in the 18th century, damping is compensated for, on the average, by an...

Source: http://arxiv.org/abs/0901.0983v1

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Sep 19, 2013
09/13

by
Jacques Arnaud; Laurent Chusseau; Fabrice Philippe

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This article is the shorten version of quant-phys/0610106 with a supplemented theory and new results concerning a single-electron laser driven by a constant-potentiel battery. "Quiet (or sub-Poissonian) oscillators generate a number of dissipation events whose variance is less than the mean. It was shown in 1984 by Golubev and Sokolov that lasers driven by regular pumps are quiet in that sense. We consider in the present paper two oscillators that should exhibit in principle the same...

Source: http://arxiv.org/abs/quant-ph/0703217v1

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0.0

Jun 30, 2018
06/18

by
Valerio Cambareri; Chunlei Xu; Laurent Jacques

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Quantised random embeddings are an efficient dimensionality reduction technique which preserves the distances of low-complexity signals up to some controllable additive and multiplicative distortions. In this work, we instead focus on verifying when this technique preserves the separability of two disjoint closed convex sets, i.e., in a quantised view of the "rare eclipse problem" introduced by Bandeira et al. in 2014. This separability would ensure exact classification of signals in...

Topics: Information Theory, Computing Research Repository, Mathematics

Source: http://arxiv.org/abs/1702.04664

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64

Sep 17, 2013
09/13

by
Laurent Chusseau; Jacques Arnaud; Fabrice Philippe

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The statistics of the light emitted by two-level lasers is evaluated on the basis of generalized rate equations. According to that approach, all fluctuations are interpreted as being caused by the jumps that occur in active and detecting atoms. The intra-cavity Fano factor and the photo-current spectral density are obtained analytically for Poissonian and quiet pumps. The algebra is simple and the formulas hold for small as well as large pumping rates. Lasers exhibit excess noise at low pumping...

Source: http://arxiv.org/abs/quant-ph/0207125v1

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Sep 22, 2013
09/13

by
Jacques Arnaud; Laurent Chusseau; Fabrice Philippe

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We present a (random) mechanical model consisting of two lottery-like reservoirs at altitude $E_h$ and $E_l

Source: http://arxiv.org/abs/0812.2757v2

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Sep 21, 2013
09/13

by
Laurent Pizzagalli; Pierre Beauchamp; Jacques Rabier

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The properties of perfect screw dislocations have been investigated for several zinc-blende materials such as diamond, Si, $\beta$-SiC, Ge and GaAs, by performing first principles calculations. For almost all elements, a core configuration belonging to shuffle set planes is favored, in agreement with low temperature experiments. Only for diamond, a glide configuration has the lowest defect energy, thanks to an sp$^2$ hybridization in the core.

Source: http://arxiv.org/abs/0709.1581v1

Billet d'invitation à la soutenance de thèse de médecine vespérale Available at the Bibliothèque interuniversitaire de santé (Paris). See this resource in Medica digital library : ms02322_ms02337ax09x0101 .

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Sep 21, 2013
09/13

by
Jacques Arnaud; Laurent Chusseau; Fabrice Philippe

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The present work is a translation from french to english of our previous \g{D\'emocrite et la puissance motrice du feu}, amended on a number of respects. It is mainly of historical and pedagogical interest. We suggest that the concepts introduced in the ancien Greece by Anaximander (flat earth) and Democritus (corpuscles moving in vacuum) allow us to obtain through qualitative observations and plausible generalizations the maximum efficiency and work of heat engines, results that were firmly...

Source: http://arxiv.org/abs/1104.0836v2

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2.0

Jun 28, 2018
06/18

by
Stéphanie Guérit; Laurent Jacques; Benoît Macq; John A. Lee

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Improving the quality of positron emission tomography (PET) images, affected by low resolution and high level of noise, is a challenging task in nuclear medicine and radiotherapy. This work proposes a restoration method, achieved after tomographic reconstruction of the images and targeting clinical situations where raw data are often not accessible. Based on inverse problem methods, our contribution introduces the recently developed total generalized variation (TGV) norm to regularize PET image...

Topics: Computer Vision and Pattern Recognition, Computing Research Repository, Optimization and Control,...

Source: http://arxiv.org/abs/1506.04935

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35

Oct 21, 2014
10/14

by
Meyer, Christophe; Vuissoz, Pierre-Andre; Felblinger, Jacques; Bonnemains, Laurent

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This article is from Journal of Cardiovascular Magnetic Resonance , volume 16 . Abstract None

Source: http://www.ncbi.nlm.nih.gov/pmc/articles/PMC4042343

Thomas Fisher Rare Book Library

675
675

May 18, 2010
05/10

by
Rousseau, Jean-Jacques, 1712-1778; Prault, L. Laurent, d. 1803?

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Pirated edition of the compilation of L.L. Laurent; also later published, with alterations, under title: Esprit, maximes, et principes. Cf. Dufour

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26

Sep 19, 2013
09/13

by
Maxime Taquet; Laurent Jacques; Christophe De Vleeschouwer; Benoit Macq

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Image hashing is the process of associating a short vector of bits to an image. The resulting summaries are useful in many applications including image indexing, image authentication and pattern recognition. These hashes need to be invariant under transformations of the image that result in similar visual content, but should drastically differ for conceptually distinct contents. This paper proposes an image hashing method that is invariant under rotation, scaling and translation of the image....

Source: http://arxiv.org/abs/1009.3029v1

Thèse de médecine quodlibétaire Available at the Bibliothèque interuniversitaire de santé (Paris). See this resource in Medica digital library : ms02322_ms02337ax09x0072 .

Thèse de médecine quodlibétaire Available at the Bibliothèque interuniversitaire de santé (Paris). See this resource in Medica digital library : ms02322_ms02337ax10x0043 .

1
1.0

Jun 29, 2018
06/18

by
Jacques M. Bahi; Xiaole Fang; Christophe Guyeux; Laurent Larger

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Lots of researches indicate that the inefficient generation of random numbers is a significant bottleneck for information communication applications. Therefore, Field Programmable Gate Array (FPGA) is developed to process a scalable fixed-point method for random streams generation. In our previous researches, we have proposed a technique by applying some well-defined discrete chaotic iterations that satisfy the reputed Devaney's definition of chaos, namely chaotic iterations (CI). We have...

Topics: Nonlinear Sciences, Hardware Architecture, Mathematics, Dynamical Systems, Chaotic Dynamics,...

Source: http://arxiv.org/abs/1608.05930

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1.0

Jun 30, 2018
06/18

by
Petros T. Boufounos; Laurent Jacques; Felix Krahmer; Rayan Saab

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Quantization is an essential step in digitizing signals, and, therefore, an indispensable component of any modern acquisition system. This book chapter explores the interaction of quantization and compressive sensing and examines practical quantization strategies for compressive acquisition systems. Specifically, we first provide a brief overview of quantization and examine fundamental performance bounds applicable to any quantization approach. Next, we consider several forms of scalar...

Topics: Mathematics, Computing Research Repository, Information Theory

Source: http://arxiv.org/abs/1405.1194

Thomas Fisher Rare Book Library

361
361

May 18, 2010
05/10

by
Rousseau, Jean-Jacques, 1712-1778; Prault, L. Laurent, d. 1803?

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On spine: Oeuvres de Rousseau

2
2.0

Jun 29, 2018
06/18

by
Jean-François Determe; Jérôme Louveaux; Laurent Jacques; François Horlin

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The simultaneous orthogonal matching pursuit (SOMP) algorithm aims to find the joint support of a set of sparse signals acquired under a multiple measurement vector model. Critically, the analysis of SOMP depends on the maximal inner product of any atom of a suitable dictionary and the current signal residual, which is formed by the subtraction of previously selected atoms. This inner product, or correlation, is a key metric to determine the best atom to pick at each iteration. This paper...

Topics: Information Theory, Computing Research Repository, Mathematics

Source: http://arxiv.org/abs/1608.08454

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0.0

Jun 29, 2018
06/18

by
Jean-François Determe; Jérôme Louveaux; Laurent Jacques; François Horlin

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In this paper, the joint support recovery of several sparse signals whose supports present similarities is examined. Each sparse signal is acquired using the same noisy linear measurement process, which returns fewer observations than the dimension of the sparse signals. The measurement noise is assumed additive, Gaussian, and admits different variances for each sparse signal that is measured. Using the theory of compressed sensing, the performance of simultaneous orthogonal matching pursuit...

Topics: Information Theory, Computing Research Repository, Mathematics

Source: http://arxiv.org/abs/1602.03400